Answer:
x=4
Step-by-step explanation:
4x+16-x=28
4x-x+16=28
3x+16=28
3x=28-16
3x=12
x=12/3
x=4
what frcation is equal to 4
13.
Shown is an L shape.
3x
2y
13y
X
All measurements are in centimetres.
Find an expression for the area of the L shape.
Answer: 24 yards
Step-by-step explanation:
a baseball player leads off the game and hits a long home run. the ball leaves the bat at a height of 4ft above the ground and an angle of 32 degrees from the horizontal with a velocity of 131 ft/s.
write a set of equations that model the scenario.
Answer:
time = 4.4 s
horizontal distance = 488.8 m
Step-by-step explanation:
Height, h = 4 ft
Angle, A = 32 degree above X axis
velocity, u = 131 ft/s
Let the time taken is t.
Use second equation of motion
[tex]h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s[/tex]
So, time is 4.4 s.
The horizontal distance is
d = u cos A t
d = 131 cos 32 x 4.4 = 488.8 m
P={x:x is a natural number,x<9
Answer:
x:x = 1 so it is a natural number
Step-by-step explanation:
it can be any negative number because: -x<9
and any number from 1 to 8
(x cannot be 0, because you cannot do 0/0 = 1)
f(x)=x2. What is g(x)?
Answer:
(2x)^2 the answer is option a
Which definition best describes skew lines?
Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.
What is Skew lines definition?
Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.
Skew Lines Example
In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.
Skew Lines in 3D
Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.
In the figure given below 'a' and 'b' are skew lines.
Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.
To learn more about skew lines visit:
https://brainly.com/question/2603508.
#SPJ2
Answer:
O D. Lines that do not intersect and are in the same plane
Step-by-step explanation:
Credit to person above for explaining,
Hope it helps!
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2+6x+4
y=x
Answer:
x= -2
y= -2
Step-by-step explanation:
y = 8x + 14
y = x
Now by subtraction of these two equation,
So 0 = 7x + 14
x = -2
y = -2
right triangle similarity. what is the value of a?
5 units
5 1/3 units
6 2/3 units
7 units
Answer:
I'd say that a is 6 2/3 units long
Step-by-step explanation:
What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?
Answer:
y=1/3x+7
Step-by-step explanation:
Hi there!
We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)
Parallel lines have the same slopes, but different y intercepts
So we need to find the slope of x-3y=21
To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
We'll need to isolate y onto one side
subtract x from both sides
-3y=-x+21
divide both sides by -3
y=1/3x-7
1/3 is in the place where m is, so 1/3 is the slope of the line
it's also the slope of the line parallel to x-3y=21
here's the equation of the line parallel to x-3y=21 so far:
y=1/3x+b
we need to find b
as the line passes through (-6,5), we can use it to solve for b
substitute -6 as x and 5 as y
5=1/3(-6)+b
multiply
5=-2+b
add 2 to both sides
7=b
Substitute 7 as b into the equation
y=1/3x+7
Hope this helps!
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answer:
Fragrant Fields Greenhouse sold 24 rose bushes.
Step-by-step explanation:
We know that:
1 rose bush = $19.90
And last weekend, the company ended up making $477.60 on rose bushes.
An equation that can represent this situation is:
19.90x = 477.60
To find x, divide:
477.60 ÷ 19.90 = 24
CHECK IT:
19.90(24) = 477.6
That is also $477.60, in terms of money
THEREFORE, the company sold 24 rose bushes.
Hope this helps!
a square garden has an area of 6400 square find its perimeter
Answer:
80
Step-by-step explanation:
Area of a square is LxL where L is the length of the side
so 6400 = LxL
L = 80
Graph f(x) = x^3. I forgot my lesson yesterday can someone pls remind me?
Answer:
If the x^3 term is positive (which it is) it will look like this.
Step-by-step explanation:
1/5 x + 1/3 equals 4/3 solve for x
Answer: x=5
1/5x= 4/3-1/3
1/5x=1
x= 1:1/5
x=5
Answer:
X=5
Step-by-step explanation:
A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many containers are required for the recipe?
There are two pints per quart
3 q * 2 p/qt = 6 pints needed
6 pint /1.5 pint/container = 4 containers
https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5
Answer:
??????????
Step-by-step explanation:
Answer:
need more clarification
Step-by-step explanation:
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each side of a polygon is 2.5 cm in length. the perimeter of the polygon is 12.5 cm.how many sides does a polygon have ?
Answer:
it's 5 sides
Step-by-step explanation:
I hope this helps
Answer:
5 sides
Step-by-step explanation:
12.5÷2.5=5
therefore the answer is 5
Find the slope of a line through the points (0,0) and (2, 9). Round your
answer to 1 decimal place.
SLope = y2-y1 / x2-x1
Answer:
Slope = 4.5
Step-by-step explanation:
We need to find the slope of a line through the points (0,0) and (2, 9).
We know that, the slope of a line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9
Put all the values,
[tex]m=\dfrac{9-0}{2-0}\\\\m=4.5[/tex]
So, the slope of the line is 4.5.
The surface area of a cube with side 4 cm is
Answer:
4³
4*4*4
64#
Step-by-step explanation:
hope you like it
diện tích bề mặt của hình lập phương sẽ là (4 cm)2 = 16 cm2.
represent “the product of 9 and a number y” mathematically
Answer:
9y
Step-by-step explanation:
Here, we want to have a mathematical representation
the product of 9 and a number y means we have to multiply 9 by the number y as follows;
= y * 9 = 9y
Find the gradient of the line y=4x-7
Answer:
4
Step-by-step explanation:
Answer:
gradient = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 4x - 7 ← is in slope- intercept form
with gradient m = 4
Three times a number added to another number gives 25.Taking the numbers as x and y form an equation
Answer:
3*x + y = 25
Step-by-step explanation:
Here we have the sentence:
"three times a number (let's call it x) added to another number (let's call it y) gives 25"
We can write this as:
3*x (3 times the first number)
+ y (added to another number)
= 25 (gives 25)
Writing this as an equation, we get:
3*x + y = 25
This is the equation we wanted.
Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overall class average of 90%?
Answer:
98
Step-by-step explanation:
An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:
[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]
The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).
The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.
Furthermore, we know all of this has to equal 90 because that's the average we're looking for.
Now we just solve for x.
Step 1) Multiply by 6:
[tex]92+86+83+90+91+x=90 \times 6[/tex]
Step 2) Simplify equation:
[tex]442+x=540[/tex]
Step 3) Subtract 442:
[tex]x=540-442=98[/tex]
Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.
20+30x=36+28 any help??
x = (a+b)2, y = a2+2ab+b2 and z = a2+b2-2ab (a) determine the sum of the numerical co-efficients of z terms. (b) determine y+z and y-z (c) If a = 3 and b = - 2, Prove that x = y
Answer:
The given equations are;
x = (a + b)²
y = a² + 2·a·b + b²
z = a² + b² - 2·a·b
(a) The numerical coefficients of z terms are
1, 1, -2
The sum of the numerical coefficients = 1 + 1 - 2 = 0
(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;
y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²
y + z = 2·a² + 2·b²
y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b
(c) Given that a = 3, and b = -2, we have;
x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y
Therefore, x = y, for all values of 'a', and 'b'
Step-by-step explanation:
can I get a walkthrough on these problems please?
Answer:
Step-by-step explanation:
52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)
79 = angle 1
angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)
angle 2 = 92 - 71
angle 2 = 21 degree
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(3). 1 g ≈ 0.035274 oz
675 g ≈ 23.8 oz
(4). 1 cup ≈ 236.588 ml
[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml
(5). 1 L ≈ 0.22 gal.
150 L ≈ 33.0 gal.
(6). 1 cm ≈ 0.3937 inch
1 cm² ≈ 0.155 inch²
2.5 cm² ≈ 0.3875 inch²
simplify
[tex] \frac{2e + f}{8e - 2e {}^{2} } \times \frac{4e - e {}^{2} }{2ef + f {}^{2} } [/tex]
The answer is 1/2f
my answer is in the image above
If 2 tan x/ 1- tan^2 x=1, then x can equal:
Answer: x=pi/8+npi and x=5pi/8+npi
Step-by-step explanation:
solve for x. round to the nearest tenth. If necessary
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = 7
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply: x = 7/sin(30°)Evaluate: x = 14Answer:
x = 14
Step-by-step explanation:
Given :-
θ, angle = 30°Hypotenuse = xopposite side = 7Solution :-
Since, it's right triangle we can use trignometery equations;
In this case we need to use sine equation.
sin θ = opposite side / hypotenuse
plug the values
sin 30° = 7 / x.
cross multiplication
x = 7 / sin 30°
Evaluate
x = 7 / 0.5
x = 14
Does this graph show a function? Explain how you know.
A. Yes; there are no y-values that have more than one x-value.
B. No; there are yvalues that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
• D. No; the graph fails the vertical line test.
Answer:
yes
Yes; the graph passes the vertical line test.
Step-by-step explanation:
if it were a graph of a circle it would not pass
the vertical line test because the vertical line would touch at least 2 points
graph is probably a cubic function
something like
y = x^3-4x+6